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Finding the Third Proportional to 544,148 and 1,181,486

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Solution

The third proportional to 544,148 and 1,181,486 is: 2,565,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,148 : 1,181,486 = 1,181,486 : x
  2. Step 2: Convert to fraction form
    544,148/1,181,486 = 1,181,486/x
  3. Step 3: Cross multiply
    544,148x = 1,181,486 × 1,181,486
  4. Step 4: Simplify right side
    544,148x = 1,395,909,168,196
  5. Step 5: Solve for x
    x = 1,395,909,168,196/544,148
  6. Step 6: Final answer
    x = 2,565,311.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.